Dice odds·3d6 = 9

3d6 = 9

Rolling 3 dice, 25 of the 216 outcomes add up to 9 — a 11.57% chance.

Probability

11.57%

Ways for each sum
357911131517
Ways to roll it
25 / 216
Probability
11.57%
One roll in
8.64
This or higher
74.07%
This or lower
37.5%
Average sum
10.5

Nearby sums

Rolls with similar odds

A different number of dice can land on much the same chance.

How to read this

  • Two dice do not land evenly. There are six ways to make 7 and only one way to make 2.
  • The more dice, the tighter the middle. With six dice almost everything lands near 21, while 6 or 36 turns up about once in 47,000 rolls.
  • The average sum is 3.5 per die, because one die averages 3.5.
  • Rare is not never — but nor is it due. Roll two dice thirty-six times and there is still roughly a 36% chance you never see a 2.

Frequently asked questions

Q. What are the odds of rolling 9 on 3 dice?

11.57% — 25 of 216 possible rolls, or roughly one roll in 8.64.

Q. How often do I roll 9 or more?

74.07% of the time. Rolling 9 or less happens 37.5% of the time.

Q. What is the most likely sum with this many dice?

Something near the average of 10.5. 2 sums come up more often than 9.

Q. Will it definitely turn up if I keep rolling?

No. Each roll is independent of the last. One in 8.64 is a long-run average, not a schedule.